nonlinear dynamics, chaos, return maps, exponents
boteler
I have a definite need to assess a recent data set of approximately 3000 data points that appear to display a type of spatial chaotic (or nearly chaotic behavior). I do have some canned software for evaluation purposes (Sprott's Chaos Analyzer) but I was hoping to find some existing code that was a little more robust and had quality plotting capabilities. I admit that, although I have used IGOR for the past 10 years, I have spent little time developing code to implement other than an occasional curve fit. I would like to be able to plot an x(n)-x(n+1) return map, assess the various exponents/dimensions (Lyapunov, fractal, Hausdorff) and ultimately develop a phase-space plot of the attractor if it exists. I know I'm asking for the world here, but can anyone help with any or all?
Any assistance would be greatly appreciated.
Respectfully,
Dr. Mike Boteler
For the graph of x(n)-x(n+1), try
Display wave[0,n-2] vs wave[1,n-1]
Naturally, substitute the real name of your wave for "wave", and the number of points in the wave for n. The New Graph dialog can do this if you use the More Complications, er, I mean More Options button and click Add and edit the ranges in the list.
I might also suggest that you post a query on the Igor Mailing list- there are still lots of people who haven't caught on to Igor Exchange.
John Weeks
WaveMetrics, Inc.
support@wavemetrics.com
September 9, 2008 at 03:51 pm - Permalink
It is like a "black box" where you put the time-series and everything happens.
Try it and modify it freely!
Here it is: http://www.geocities.com/chlouverakis/Experimental_analysis.txt
Please feel free to contact me at: kostisc@gmail.com
Regards
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Konstantinos Chlouverakis
July 6, 2009 at 03:30 am - Permalink